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What else can I help you with?
Is the converse of a true conditional statement always false?
No. Consider the statement "If I'm alive, then I'm not dead." That statement is true. The converse is "If I'm not dead, then I'm alive.", which is also true.
Do all even numbers have only even numbers for factors?
At least one of the factors of an even number must be even, because the product of odd factors is always odd.
Is it true that two numbers in a ratio will always have a common factor?
Yes.
Is it always true that if you divide the product of two numbers by the Greatest common factor you find the Least common multiple?
Yes, as long as the numbers are positive.
The gcf if a pair of numbers is always equal to or less than the lesser of the two numbers true or false?
False
What is a statement that's always true about numbers?
A statement that's always true about numbers is that every number is either even or odd. This classification applies to all integers, where even numbers are divisible by 2, and odd numbers are not. Additionally, zero is considered an even number. This binary classification helps in various mathematical applications and reasoning.
Is if you like math then you like science an inverse?
In order to determine if this is an inverse, you need to share the original conditional statement. With a conditional statement, you have if p, then q. The inverse of such statement is if not p then not q. Conditional statement If you like math, then you like science. Inverse If you do not like math, then you do not like science. If the conditional statement is true, the inverse is not always true (which is why it is not used in proofs). For example: Conditional Statement If two numbers are odd, then their sum is even (always true) Inverse If two numbers are not odd, then their sum is not even (never true)
Is this true for any two even numbers?
It depends what the statement is.
The absolute value of numbers is always non-negative?
The statement is true.
Is the gcf of any two even numbers is always even true or false?
True.
What is a statement that can be proved true?
A statement that can be proved true is a mathematical proposition such as "The sum of two even numbers is always even." This can be demonstrated through logical reasoning or examples, as any two even integers can be represented as 2n and 2m (where n and m are integers), and their sum (2n + 2m) is 2(n + m), which is also an even number. Thus, the statement holds true under the rules of arithmetic.
Is the gcf of any two even numbers is always even true?
Yes, that is true.
Is the sum of two even numbers always even true or false?
Yes, it is.
Is it true that the gcf of any two even numbers is always even?
Yes.
Is it true the gcf of any two numbers always even and why?
No
What statement about rational and irrational numbers is always true?
Rational numbers can be expressed as fractions whereas irrational numbers can't be expressed as fractions
What is proof by Converse?
Proof by Converse is a logical fallacy where one asserts that if the converse of a statement is true, then the original statement must also be true. However, this is not always the case as the converse of a statement may not always hold true even if the original statement is true. It is important to avoid this error in logical reasoning.
